Home / 1,928.34-2,878.40-1,656.18

Finding the Fourth Proportional to 1,928.34, 2,878.40 and 1,656.18

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Solution

The fourth proportional to 1,928.34, 2,878.40 and 1,656.18 is: 2,472.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.34 : 2,878.40 = 1,656.18 : x
  2. Step 2: Convert to fraction form
    1,928.34/2,878.40 = 1,656.18/x
  3. Step 3: Cross multiply
    1,928.34x = 2,878.40 × 1,656.18
  4. Step 4: Simplify right side
    1,928.34x = 4,767,152.65
  5. Step 5: Solve for x
    x = 4,767,152.65/1,928.34
  6. Step 6: Final answer
    x = 2,472.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.